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Assuming that the two alien races are indeed "intelligent" (approximately relative to humans), and that they possess sensory perceptors approximately similar to those of humans, and that they inhabit the same observable universe as humans do - a universe that contains a great many physical (imperfect) circles - surely they should be expected to have conceived of the same abstraction of a (perfect) circle? And therefore to have gotten to pi?

Then again, maybe a circle (and all other geometric abstractions) are too tied specifically to visual perception. Maybe, for example, intelligent aliens who only have auditory perception, would have no concept of a circle but would have gotten to the Doppler effect. Or intelligent aliens who only have tactile perception, would have no concept of a circle but would have gotten to the laws of thermodynamics.



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